Question

The unit’s digit in the product \[274 \times 318 \times 577 \times 313\]is
A.\[2\]
B.\[3\]
C.\[4\]
D.\[5\]

Answer 1

Hint: We will only multiply all the digits in the unit’s place of each number to find the overall unit’s digit. We will do this because we only have to find the unit’s digit and not the total product of all the numbers.

Complete step-by-step answer:
The numbers given to us are \[274,318,577\& 313\].
The unit’s digit in each number is \[4,8,7\& 3\].
We will now multiply these digits.
On multiplying the digits, we will get \[4 \times 8 \times 7 \times 3 = 672\]
We got \[672\]as the product.
This is again a three digit number so we will only consider the last digit or the units digit.
Therefore, the unit’s digit in the product \[274 \times 318 \times 577 \times 313\] is \[2\].
Thus, the answer is option A.

Note: We are using this method because it is the simplest one to find the solution. If more numbers had been given, we would still use this method to find the digit in unit’s place irrespective of anything